Finding length in regular pyramid

AI Thread Summary
The discussion revolves around finding the length of segment TN in a regular pyramid with a square base of 1 cm. Participants highlight the lack of information regarding the pyramid's height or slant height, which is essential for calculating TN. It is clarified that a regular pyramid has an apex directly above the center of the base, and the edges connecting to the apex are each 1 cm long. One contributor suggests that the length of TN is 1/2 √3, which aligns with the properties of the pyramid. The conversation concludes with agreement on the implications of the pyramid's regularity and dimensions.
songoku
Messages
2,467
Reaction score
382

Homework Statement


Regular pyramid T.ABCD has square base with side 1 cm. N is the mid-point of AB. Find the length of TN


Homework Equations


not sure


The Attempt at a Solution


No information given about the height of the pyramid and the length of the slant-edge, such as TA, so how can we find TN :confused:
 
Physics news on Phys.org
Without being given the height of the pyramid (or something equivalent, such as the slant height) then you can't place a value on the length of TN. The only way I can see going about this is to leave the answer in terms of an unknown constant, such as AT, or maybe regular pyramid means something more than just the apex of the pyramid is normal to the centre of the base.
 
Mentallic said:
Without being given the height of the pyramid (or something equivalent, such as the slant height) then you can't place a value on the length of TN. The only way I can see going about this is to leave the answer in terms of an unknown constant, such as AT, or maybe regular pyramid means something more than just the apex of the pyramid is normal to the centre of the base.

Not sure, but I think regular pyramid means that the apex of the pyramid is normal to the centre of the base and the base has equal side, i.e the base is square.

If I remember correctly, the answer is 1/2 √3. But I can't find it. I have provided the complete question
 
songoku said:
Not sure, but I think regular pyramid means that the apex of the pyramid is normal to the centre of the base and the base has equal side, i.e the base is square.

If I remember correctly, the answer is 1/2 √3. But I can't find it. I have provided the complete question

Ahh ok then, with the answer of \frac{\sqrt{3}}{2} that means the edges connecting to the apex are a length of 1 each, which I guess is what was also implied by the "regular" pyramid.
 
Mentallic said:
Ahh ok then, with the answer of \frac{\sqrt{3}}{2} that means the edges connecting to the apex are a length of 1 each, which I guess is what was also implied by the "regular" pyramid.

Ahhh you are correct. Thanks :smile:
 

Similar threads

Question about an 8th grade math problem
Replies
20
Views
2K
Area of interior triangle of pyramid normal to a side length
Replies
3
Views
1K
Is this question doable? Finding triangle side length
Replies
27
Views
2K
MHB [ASK] Find the volume of Pyramid in a Cube
Replies
6
Views
2K
Solving for Side Length of Right Pyramid with Height/Volume
Replies
1
Views
12K
Lateral Area and Volume of a Pyramid
Replies
1
Views
5K
Trigonometry: finding an angle, area and length of sector of a circle
Replies
2
Views
2K
Force to lift a pyramid that is sitting in a water tank
Replies
9
Views
3K
Close Packing of Spheres in Regular Tetrahedral vs. Square Pyramidal C
Replies
8
Views
9K
Proof about cycle with odd length
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top